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Finding the Fourth Proportional to 3,212.34, 4,432.86 and 1,815

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Solution

The fourth proportional to 3,212.34, 4,432.86 and 1,815 is: 2,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.34 : 4,432.86 = 1,815 : x
  2. Step 2: Convert to fraction form
    3,212.34/4,432.86 = 1,815/x
  3. Step 3: Cross multiply
    3,212.34x = 4,432.86 × 1,815
  4. Step 4: Simplify right side
    3,212.34x = 8,045,640.90
  5. Step 5: Solve for x
    x = 8,045,640.90/3,212.34
  6. Step 6: Final answer
    x = 2,504.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.